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Finding the Fourth Proportional to 78,295.96, 117,439.76 and 27,691.48

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Solution

The fourth proportional to 78,295.96, 117,439.76 and 27,691.48 is: 41,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,295.96 : 117,439.76 = 27,691.48 : x
  2. Step 2: Convert to fraction form
    78,295.96/117,439.76 = 27,691.48/x
  3. Step 3: Cross multiply
    78,295.96x = 117,439.76 × 27,691.48
  4. Step 4: Simplify right side
    78,295.96x = 3,252,080,765.24
  5. Step 5: Solve for x
    x = 3,252,080,765.24/78,295.96
  6. Step 6: Final answer
    x = 41,535.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.